Gauge-equivariant graph neural networks embed non-Abelian local symmetries directly into message passing for lattice gauge theories, enabling learning of nonlocal observables from local operations.
Wen, Quantum orders and symmetric spin liquids, Physical Review B65, 165113 (2002)
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Dipolar spin ice monopoles acquire finite magnetic charge from long-range dipole-dipole interactions via the dumbbell picture even classically, while octupolar spin ice monopoles have zero charge, providing a classical distinction between symmetry-enriched topological orders.
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Gauge-Equivariant Graph Neural Networks for Lattice Gauge Theories
Gauge-equivariant graph neural networks embed non-Abelian local symmetries directly into message passing for lattice gauge theories, enabling learning of nonlocal observables from local operations.
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Classical symmetry enriched topological orders and distinct monopole charges for dipole-octupole spin ices
Dipolar spin ice monopoles acquire finite magnetic charge from long-range dipole-dipole interactions via the dumbbell picture even classically, while octupolar spin ice monopoles have zero charge, providing a classical distinction between symmetry-enriched topological orders.